On continuous triangular norms

被引：24

作者：

Jenei, S ^{[1
]}

Fodor, JC ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Comp Sci, H-1088 Budapest, Hungary

来源：

FUZZY SETS AND SYSTEMS | 1998年 / 100卷 / 1-3期

基金：

匈牙利科学研究基金会;

关键词：

triangular norms; Archimedean property; ordinal sum; uniform convergence;

D O I：

10.1016/S0165-0114(97)00063-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The problem of converging to any given continuous triangular-norm by a. sequence of continuous Archimedean triangular-norms is studied. Such a sequence is built up in a constructive way. The class of well-founded triangular-norms is introduced. It is proved that a sequence of triangular-norms converges to a given continuous triangular-norm if and only if this convergence is uniform. Finally, we prove that every continuous triangular norm is a uniform limit of continuous Archimedean triangular-norms. (C) 1998 Published by Elsevier Science B.V. All rights reserved.

引用

页码：273 / 282

页数：10

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